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Finding the Fourth Proportional to 104,644.95, 144,408.32 and 56,899.50

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Solution

The fourth proportional to 104,644.95, 144,408.32 and 56,899.50 is: 78,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,644.95 : 144,408.32 = 56,899.50 : x
  2. Step 2: Convert to fraction form
    104,644.95/144,408.32 = 56,899.50/x
  3. Step 3: Cross multiply
    104,644.95x = 144,408.32 × 56,899.50
  4. Step 4: Simplify right side
    104,644.95x = 8,216,760,919.34
  5. Step 5: Solve for x
    x = 8,216,760,919.34/104,644.95
  6. Step 6: Final answer
    x = 78,520.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.